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Finding the Fourth Proportional to 37,419, 51,638.94 and 20,651.64

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Solution

The fourth proportional to 37,419, 51,638.94 and 20,651.64 is: 28,499.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,419 : 51,638.94 = 20,651.64 : x
  2. Step 2: Convert to fraction form
    37,419/51,638.94 = 20,651.64/x
  3. Step 3: Cross multiply
    37,419x = 51,638.94 × 20,651.64
  4. Step 4: Simplify right side
    37,419x = 1,066,428,798.86
  5. Step 5: Solve for x
    x = 1,066,428,798.86/37,419
  6. Step 6: Final answer
    x = 28,499.66

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.